The Monge-Kantorovich problem is to move one distribution of mass onto another as efficiently as possible, where Mongeâ€™s original criterion for efficiency [19] was to minimize the average distanceâ€¦ (More)

Mongeâ€™s problem refers to the classical problem of optimally transporting mass: given Borel probability measures Î¼ = Î¼âˆ’ on R, find the measure preserving map s(x) between them which minimizes theâ€¦ (More)

Kremer and Maskin (Wage inequality and segregation by skill. Working Paper 5718, National Bureau of Economic Research, http://www.nber.org/papers/ w5718, 1996) introduced an idealized model forâ€¦ (More)

Gangbo and McCann showed that optimal transportation between hypersurfaces generally leads to multivalued optimal maps â€“ bivalent when the target surface is strictly convex. In this paper we quantifyâ€¦ (More)

Although the roller compaction process appears simple, efforts to quantitatively model the process have proven challenging because of complex material behavior in the feeding and compaction zones. Toâ€¦ (More)

Nalidixic acid inhibited DNA synthesis and cell division during asynchronous growth of Alcaligenes eutrophus but treated cells continued to grow as monitored by A550, respiratory activity and cellâ€¦ (More)